Question

Solve the question
For a number 6123 the divisor and quotient are same and the remainder is half of divisor. find the divisor

Answer 1

Answer:

78

Step-by-step explanation:

Number= 6123 (given)

let the divisor and the quotient be x

therefore,

divisor= quotient = x

Now,

dividend= divisor qoutient+remainder

6123 = x* x + x/2

= x^2 + x/2

or 2x^2 + x - 12246 = 0

or

by quadratic formula

x=(-1 +_ V1 + 4*2*12246)/4

= (-1 +_313)/4

x = (313-1)/4 = 312/4 = 78

and x = (313 + 1)/4 = 157/2 ( cannot be taken)

therefore,the divisor = 78

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